The force of gravity between two objects is given by:
where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is their separation
In this problem, the mass of the object is
, while the Earth's mass is
. Their separation is
, therefore the gravitational force exerted on the object is
In order to keep the object moving in the same direction and with same speed, its initial and final momentum should be zero.
∴ Net force on the object should be zero.
<span>In physics, the law of conservation of energy states that the total energy of an isolated system remains constant—it is said to be conserved over time. Energy can neither be created nor destroyed; rather, it transforms from one form to another. For instance, chemical energy can be converted to kinetic energy in the explosion of a stick of dynamite.</span>
Answer:
the radius of the protons path is r = 0.85 m.
Explanation:
the force due to magnetic fields lead to the cetripetal force, such that:
F = q×v×B = m×(v^2)/r
q×B = m×v/r
then:
r = m×v/q×B
r = p/q×B
then, the kinetic energy of the proton:
K = 1/2×m×v^2 = p^2/(2×m)
q×B = \sqrt{2×m×K}/r
r = \sqrt{2×m×K}/(q×B)
= \sqrt{2×(1.67×10^-27)×(5.3×1.60×10^-13)}/(1.60×10^-19×0.39)
= 0.85 m
The angular velocity of the stepped cylinder is determined as 2.35 rad/s.
<h3>Centripetal acceleration of the cylinder</h3>
The centripetal acceleration of the cylinder is calculated as follows;
F = ma
a = F/m
a = 40/ 36
a = 1.11 m/s²
<h3>Velocity of the cylinder</h3>
a = v²/r
v² = ar
v² = 1.11 x 0.2
v² = 0.222
v = 0.47 m/s
<h3>Angular velocity of the cylinder</h3>
v = ωr
ω = v/r
ω = 0.47/0.2
ω = 2.35 rad/s
Learn more about angular velocity here: brainly.com/question/6860269
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